This paper aims to present results that guarantee the existence of solution to a problem involving a fractional differential equation with antiperiodic boundary conditions. The fractional differential equation considered ...

Using the notion of summable dichotomy in ordinary difference equations and the contraction and Schauder fixed point theorem, we obtain the existence of bounded and periodic solutions on ℤ under quite general hypotheses ...

For some abstract classes of nonlinear non-autonomous systems with variable and state-dependent delays existence, non-existence and multiplicity of periodic solutions are discussed. To illustrate the efficiency of the ...

By using weighted summable dichotomies and Schauder's fixed point theorem, we prove the existence of convergent solutions of linear functional difference equations. We apply our result to Volterra difference equations with ...

TWe prove the existence of T−periodic solutions for the second order non-linear equation u0 1 − u02 0 = h(t)g(u), where the non-linear term g has two singularities and the weight function h changes sign. We find a relation ...

In the present paper we obtain a new homological version of the implicit function theorem and some versions of the Darboux theorem. Such results are proved for continuous maps on topological manifolds. As a consequence. ...

In this paper, considering _ RN (N > 2) a bounded smooth domain, using blow-up techniques and the Leray Schauder Topological Degree theory, we intend to ensure the existence of positive solutions for a problem involving ...